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Group Velocity for Deepwater Formula

GoGroup Velocity given Deepwater Celerity Formula

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Group Velocity for Deep Water is the speed at which a group of waves travels through deep water, crucial for understanding how energy and momentum are transferred within wave groups. Check FAQs

Vg deep = 0.5 \cdot (\frac{λ o}{P sz})

Vg_deep - Group Velocity for Deep Water?λ_o - Deep Water Wavelength?P_sz - Surf Zone Wave Period?

Group Velocity for Deepwater Example

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Here is how the Group Velocity for Deepwater equation looks like with Values.

Here is how the Group Velocity for Deepwater equation looks like with Units.

Here is how the Group Velocity for Deepwater equation looks like.

0.1672 = 0.5 \cdot (\frac{0.341}{1.02})

0.1672m/s = 0.5 \cdot (\frac{0.341m}{1.02})

0.1672 = 0.5 \cdot (\frac{0.341}{1.02})

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Group Velocity for Deepwater Solution

Follow our step by step solution on how to calculate Group Velocity for Deepwater?

FIRST Step Consider the formula

Vg deep = 0.5 \cdot (\frac{λ o}{P sz})

Next Step Substitute values of Variables

∴

Vg deep = 0.5 \cdot (\frac{0.341m}{1.02})

Next Step Prepare to Evaluate

∴

Vg deep = 0.5 \cdot (\frac{0.341}{1.02})

Next Step Evaluate

∴

Vg deep = 0.167156862745098m/s

LAST Step Rounding Answer

∴

Vg deep = 0.1672m/s

Group Velocity for Deepwater Formula Elements

Variables

Group Velocity for Deep Water

Group Velocity for Deep Water is the speed at which a group of waves travels through deep water, crucial for understanding how energy and momentum are transferred within wave groups.

Symbol: Vg_deep

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Group Velocity for Deep Water

Deep Water Wavelength

Deep Water Wavelength refers to the distance between successive wave crests (or troughs) in deep water, where the water depth is greater than half the wavelength.

Symbol: λ_o

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Deep Water Wavelength

Surf Zone Wave Period

Surf Zone Wave Period refers to the time interval between successive wave crests (or troughs) as they break in the surf zone. The surf zone is the area near the shore.

Symbol: P_sz

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Surf Zone Wave Period

Other Formulas to find Group Velocity for Deep Water

Go Group Velocity given Deepwater Celerity

Vg deep = 0.5 \cdot C o

Other formulas in Group Velocity category

Go Group Velocity of Wave given Wavelength and Wave Period

Vg shallow = 0.5 \cdot (\frac{λ}{P}) \cdot (1 + \frac{4 \cdot π \cdot \frac{d}{λ}}{\sinh (4 \cdot π \cdot \frac{d}{λ})})

Go Deepwater Wavelength

λ o = \frac{Vg deep \cdot P}{0.5}

Go Deepwater Celerity

C o = \frac{Vg deep}{0.5}

Go Group Velocity for Shallow Water

Vg shallow = \frac{λ}{P}

How to Evaluate Group Velocity for Deepwater?

Group Velocity for Deepwater evaluator uses Group Velocity for Deep Water = 0.5*(Deep Water Wavelength/Surf Zone Wave Period) to evaluate the Group Velocity for Deep Water, The Group Velocity for Deepwater Formula is defined as the speed at which the energy or information of a wave group travels through the water. In deep water waves (where the water depth is greater than half the wavelength), the group velocity is typically half the phase velocity (the speed at which individual wave crests move). Group Velocity for Deep Water is denoted by Vg_deep symbol.

How to evaluate Group Velocity for Deepwater using this online evaluator? To use this online evaluator for Group Velocity for Deepwater, enter Deep Water Wavelength (λ_o) & Surf Zone Wave Period (P_sz) and hit the calculate button.

FAQs on Group Velocity for Deepwater

What is the formula to find Group Velocity for Deepwater?

The formula of Group Velocity for Deepwater is expressed as Group Velocity for Deep Water = 0.5*(Deep Water Wavelength/Surf Zone Wave Period). Here is an example- 0.001059 = 0.5*(0.341/1.02).

How to calculate Group Velocity for Deepwater?

With Deep Water Wavelength (λ_o) & Surf Zone Wave Period (P_sz) we can find Group Velocity for Deepwater using the formula - Group Velocity for Deep Water = 0.5*(Deep Water Wavelength/Surf Zone Wave Period).

What are the other ways to Calculate Group Velocity for Deep Water?

Here are the different ways to Calculate Group Velocity for Deep Water-

Group Velocity for Deep Water=0.5*Deep Water Wave Celerity

Can the Group Velocity for Deepwater be negative?

Yes, the Group Velocity for Deepwater, measured in Speed can be negative.

Which unit is used to measure Group Velocity for Deepwater?

Group Velocity for Deepwater is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Group Velocity for Deepwater can be measured.

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